Category: Relation and Functions

Question Number 99819 by mathmax by abdo last updated on 23/Jun/20 $$\mathrm{sove}\mathrm{sinx}{\mathrm{y}}^{{}^{\prime }}-\cos \left(2\mathrm{x}\right)\mathrm{y}={\mathrm{xe}}^{-\mathrm{x}}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 34263 by math khazana by abdo last updated on 03/May/18 $$calculateI={\int }_0^{\mathrm{\infty }}\frac{dx}{(1+x^2)(1+x^n)}and$$$${J}\:=\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\:\:\frac{{x}^{{n}} }{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\left(\mathrm{1}+{x}^{{n}} \right)}{dx}\:{with}\:{n}\:{integr}\:>\mathrm{0} \…

Question Number 34226 by abdo imad last updated on 03/May/18 $$let{u}_n={(n+1)}^{\frac{n+1}{n}}-n^{\frac{n}{n-1}}$$$$find{lim}_{n\to +\mathrm{\infty }}{u}_n$$ Commented by abdo mathsup 649 cc last…

Question Number 34217 by abdo imad last updated on 02/May/18 $$calculate{lim}_{n\to +\mathrm{\infty }}{n}^3\sum _{k=1}^n\frac{1}{n^4+k^2{n}^2+k^4}.$$ Commented by math khazana…

Question Number 99612 by bemath last updated on 22/Jun/20 Commented by john santu last updated on 22/Jun/20 $$f\left(x\right)=\frac{1}{\sqrt{{\left[x\right]}^2-\left[x\right]-6}},\mathrm{defined}\mathrm{if}$$$${\left[x\right]}^2-\left[x\right]-6>0$$$$\left(\left[{x}\right]−\mathrm{3}\right)\left(\left[{x}\right]+\mathrm{2}\:\right)\:>\mathrm{0} \…